About the properties of the upper Bohl exponents of diagonal discrete linear time-varying systems

One of the most important numerical characteristics of dynamical systems used in control theory are the Bohl exponents. By contrast with the Lyapunov characteristics, the properties of the Bohl exponents are much less investigated in the literature. In this paper, we show the example of two-dimensional discrete time-varying linear system with bounded coefficients for which the number of upper Bohl exponents of solutions may be greater than dimension of the system.